Original scientific paper
On Landau's type inequalities for infinitesimal generators
H. Kraljević
Abstract
We consider Landau's type inequalities of the form
\[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0
where A is the infinitesimal generator of either a strongly continuous
semigroup or a strongly continuous cosine function of linear contractions on a Banach space X.
The constants C_{n,k} are computed for n ≤ 6.
Keywords
infinitesimal generator; operator semigroup; operator cosine function; Landau's type inequalities
Hrčak ID:
1829
URI
Publication date:
22.12.1996.
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